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5. In a box there are R red balls and B black balls. In an experiment, we randomly pick a ball from the box, record its color and then throw the ball back to the box. We then repeat the random picking N times. Let X be the total number of red balls picked. We assume R, B and N are all positive integers.
(2) We now change the experiment setup. When a ball is picked, it is removed from the box for the rest of the experiment. Let N be no greater than R+B. What is the mean value of X now?
(1) What is the mean value of X?
(2) A Boolean variable can have either the value "T" which stands for true or "F" which stands for false. List all values of the Boolean variables X, Y and Z so that (X + Y + not(Z)) = X dot Y dot Z
25. 若 4 3 2 f x x x x gx x () 5 1 () 2 ， 且 f ( ) x 除以 g x( ) 的餘式為 ax b ( a , b 為常數)，則2 3 a b 為何？ (A) 27 (B) 7 (C) 5 (D) 13
24. 若 2 且 3 sin5 ，則tan2 之值為何？ (A) 247 (B) 32 (C) 32 (D) 247
23. 已知點 P a b ab ( ,) 在坐標平面的第四象限，則下列敘述何者正確？ (A) A( ) a b 在第一象限 (B) ( ) a B ab b 在第二象限 (C) ( ) a C b b 在第三象限 (D) ( ) a D b a b 在第四象限
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